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Finding the Fourth Proportional to 8,401.54, 12,598.66 and 2,556.80

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Solution

The fourth proportional to 8,401.54, 12,598.66 and 2,556.80 is: 3,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.54 : 12,598.66 = 2,556.80 : x
  2. Step 2: Convert to fraction form
    8,401.54/12,598.66 = 2,556.80/x
  3. Step 3: Cross multiply
    8,401.54x = 12,598.66 × 2,556.80
  4. Step 4: Simplify right side
    8,401.54x = 32,212,253.89
  5. Step 5: Solve for x
    x = 32,212,253.89/8,401.54
  6. Step 6: Final answer
    x = 3,834.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.